Distance and Midpoint Formula Parabolas Circles Ellipses Hyperbolas
100
y = 3x - 9
What is the equation for the perpendicular bisector of the line segment joining the two points (9, -2) and (-3,2)?
100
Vertex = (5, -2). Focus = (2.5, -2). Directrix: x= 7.5
Graph the parabola. (y+2)^2 = -10(x-5)
100
(x+2)^2 + (y-3)^2 = 16
What is the equation of a circle if the center is (-2, 3) and has a radius of 4? No Calculator
100
[(x+1)^2]/4 + [(y-3)^2]/36 = 1
What is the equation of an ellipse if the center is (-1,3) and a = 6 and b = 2
100
Center (4,3); Vertices (0,3) and (8,3); Foci: (4 plus or minus square root of 17, 3)
Name the coordinates of the center, vertices, and foci of the equation (x-4)^2 - 16(y-3)^2 = 16
200
y = (4/15)x + (61/30)
y = (4/15)x + (61/30)What is is the equation for the perpendicular bisector of the line segment joining the two points (0, -6) and (-4, 9)
200
Vertex (-5,2); Focus(-8,2); Directrix: x= -2
Graph (y-2)^2 = -12(x+5). Find vertex, focus, and directrix
200
(x+5)^2 + (y-8)^2 = 17
(x+5)^2 + (y-8)^2 = 17Write the equation of a circle with a center(-5, 8) which passes through the point (-4, 12)
200
[(x+2)^2]/21 + [(y+1)^2]/25 = 1
[(x+2)^2]/21 + [(y+1)^2]/25 = 1Find the equation for the ellipse with a major axis of length 10 and foci of (-2,1) and (-2,-3)
200
Center (2, -1); Vertices (2,2) and (2,-4); Foci (2, 5.7) (2, -7.7); Asymptotes y=(1/2)x -2 and y=(-1/2)x
Center (2, -1); Vertices (2,2) and (2,-4); Foci (2, 5.7) (2, -7.7); Asymptotes y=(1/2)x -2 and y=(-1/2)xFrom [(y+1)^2]/9 - [(x-2)^2]/36 = 1; Find the center, vertices, foci, and asymptotes
300
x = -1 or 15
x = -1 or 15Use the given distance between the two points to solve for x. (3, x)(5, 7); d = 2 times square root of 17
300
(x-3)^2 = 6(y-2.5)
Write the equation for a parabola with a focus of (3,4) and directrix of y=1
300
A. x^2 + y^2 is less than or equal to 3600
B. No
An air trafic control tower(0, 0) can detect airplanes up to 60 miles away. You are in a plane 50 miles west and 34 miles south of the control tower. A. write an inequality that describes the region in which planes can be detected by the control tower. B.
300
x^2/16 + y^2/4 = 1
Find the standard equation for 4x^2 + 16y^2 = 64
300
Center (-1,2); Vertices: (11,2) and (-13,2); Foci: (12,2) and (-14,2)
Center (-1,2); Vertices: (11,2) and (-13,2); Foci: (12,2) and (-14,2)Find the center, vertices, and the foci of the hyperbola [(x+1)^2]/144 - [(y-2)^2]/25 = 1
400
x = 8 or 2
Use the given distance between the two points to solve for x. (5, -8)(x, -11); d = 3 times the square root of 2
400
Depth = 1 ft
Depth = 1 ftThe recover is located at the focus of a TV dish, four feet above the vertex(0,0). Find an equation for the cross section of the dish. Then, determine the depth of the dish if it is 8 feet wide
400
Equation: (x+4)^2 + (y+3)^2 = 50; Center(-4,3); Radius=5 times the square root of 2
Equation: (x+4)^2 + (y+3)^2 = 50; Center(-4,3); Radius=5 times the square root of 2Rewrite x^2 + y^2 + 8x - 6y - 25 = 0 into standard form and state the equation, center, and radius.
400
A semi-elliptical archway
3 feet from the center of archA semi-elliptical archway is formed over the entrance to an estate. The arch is set on pillars 10 feet apart. The arch has a height of 4 feet above the pillars. Where should the foci be placed in order to sketch the plans for
400
(y^2)/16 - (x^2)/209 = 1
Find the equation for a hyperbola given that the foci are (0, plus or minus 15), and the transverse axis length is 8
500
Isosceles
The vertices of a triangle are (0, -3), (3,5), and (-5, 2). Classify the triangle.
500
Rewrite y^2 - 6y + 10x + 19=0 in its standard form. Find the equation, vertex, focus, and directrix.
Equation: (y-3)^2 = -10(x+1); Vertex (-1, 3); Focus(-3.5, 3); Directrix: x= 1.5
500
A. No
B. If it was driving in the center of the road
A. No
B. If it was driving in the center of the roadA moving van 6 ft wide and 12 ft high is approaching a semicircular tunnel with radius 13 ft. A. Can the truck fit through the tunnel on one side of the road? B. Can the truck fit in the tunnel if it was
500
Vertices: (1, -4) and (1, 2); Foci: (1, -1 plus or minus the square root of 5)
Prove that 9x^2 + 4y^2 -18x +8y -23=0 is an ellipse. If it is an ellipse, find its vertices and foci.
500
[(x+1)^2]/4 - [(y-2)^2]/5 = 1
[(x+1)^2]/4 - [(y-2)^2]/5 = 1Find the equation of the hyperbola given that the foci (-4,2) and (2,2), transverse axis endpoints are (-3,2) and (1,2)






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